Reciprocity laws on curves

Robert F. Coleman

Compositio Mathematica (1989)

  • Volume: 72, Issue: 2, page 205-235
  • ISSN: 0010-437X

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Coleman, Robert F.. "Reciprocity laws on curves." Compositio Mathematica 72.2 (1989): 205-235. <http://eudml.org/doc/89988>.

@article{Coleman1989,
author = {Coleman, Robert F.},
journal = {Compositio Mathematica},
keywords = {reciprocity law for Green's functions; algebraic differentials; de Rham cohomology group; rigid geometry},
language = {eng},
number = {2},
pages = {205-235},
publisher = {Kluwer Academic Publishers},
title = {Reciprocity laws on curves},
url = {http://eudml.org/doc/89988},
volume = {72},
year = {1989},
}

TY - JOUR
AU - Coleman, Robert F.
TI - Reciprocity laws on curves
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 72
IS - 2
SP - 205
EP - 235
LA - eng
KW - reciprocity law for Green's functions; algebraic differentials; de Rham cohomology group; rigid geometry
UR - http://eudml.org/doc/89988
ER -

References

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  1. [B] S. Bosch, Eine bemerkenswerte Eigenshaft der formellen Fasern affinoider Räume, Math. Ann.229, (1977) 25-45. Zbl0385.32008MR447642
  2. [BGR] S. Bosch, Guntzer and R. Remmert, Non-Archimedean Analysis, Springer-Verlag, 1984. Zbl0539.14017MR746961
  3. [BL] S. Bosch, Lutkeböhmert, Stable Reduction and uniformization of Abelian Varieties I, Math. Ann.270 (1985). Zbl0554.14012MR774362
  4. [C-1] Coleman, R., Dilogarithms, Regulators and p-adic Abelian Integrals, Invent. math.69, (1982) 171-208. Zbl0516.12017MR674400
  5. [C-2] —, Torsion Points on Curves and p-adic Abelian Integrals, Ann. of Math., 121 (1985) 111-168. Zbl0578.14038
  6. [C-3] —, Bi-extensions, Universal Vectorial Extensions and Differentials of the Third Kind, to appear. 
  7. [CdS] —, E. de Shalit, p-adic Regulators on Curves and Special Values of p-adic L-functions, to appear in Inventiones. Zbl0655.14010
  8. [CG] —, B. Gross, p-adic heights and p-adic Green's Functions, to appear. 
  9. [CM] —, W. McCallum, Stable Reduction of Fermat Curves and Jacobi sum Hecke Characters, to appear in J. Reine und Angew. Math. Zbl0654.12003
  10. [G] Grauert, H., Affinoide Überdeckungen einedimensionaler affinoider Räume. Publ. Math. IHES34 (1968). Zbl0197.17302MR234021
  11. [Gr] Grothendieck, A., Local Cohomology, Lecture Notes in Math.41, Springer Verlag (1967). Zbl0185.49202MR224620
  12. [H] Hartshorne R., On the de Rham Cohomology of Algebraic Varieties, Publ. Math.45, (1976). Zbl0326.14004MR432647
  13. [K-1] Kiehl, R., Der Einlichkeitsatz für eigenliche Abbildungen in der nichtarchimedishen Funktionen theorie, Math.2, (1967) 191-214. Zbl0202.20101MR210948
  14. [K-2], Die De Rham-Kohomologie algebraischer Mannigfaltigkeiten über einem bewerten Korper. Publ. Math. IHES33 (1967). Zbl0159.22404
  15. [L] Lang, S., Introduction to Diophantine Geometry. 
  16. [R] Raynaud M., Variétiés Abéliennes et géométrie rigide, Actes, Congrès intern. math. Tome1, (1970) 473-477. Zbl0223.14021MR427326
  17. [S] Serre, J-P., Groupes algèbriques et corps de class. Zbl0718.14001

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